A baseband signal $\text{g}(t)$ bandlimited to $100 \mathrm{~Hz}$ modulates a carrier of frequency $f_{0} \mathrm{~Hz}$. The modulated signal $\text{g}(t) \cos 2 \pi f t$ is transmitted over a channel whose input $x$ and output $y$ are related by $y=2 x+x^{2}$. The spectrum of $\text{g}(t)$ is shown in the figure. Sketch the spectrum of the transmitted signal and the spectrum of the received signal.
